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Finding the Fourth Proportional to 24,819.72, 37,233.68 and 8,180.75

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Solution

The fourth proportional to 24,819.72, 37,233.68 and 8,180.75 is: 12,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819.72 : 37,233.68 = 8,180.75 : x
  2. Step 2: Convert to fraction form
    24,819.72/37,233.68 = 8,180.75/x
  3. Step 3: Cross multiply
    24,819.72x = 37,233.68 × 8,180.75
  4. Step 4: Simplify right side
    24,819.72x = 304,599,270.40
  5. Step 5: Solve for x
    x = 304,599,270.40/24,819.72
  6. Step 6: Final answer
    x = 12,272.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.